Global existence and asymptotic behavior of solution for Rosenau equation with Stokes damped term

2015 ◽  
Vol 38 (17) ◽  
pp. 3990-4000 ◽  
Author(s):  
Shubin Wang ◽  
Xiao Su
Keyword(s):  
Asymptotic Behavior ◽  
Global Existence ◽  
Asymptotic Behavior Of Solution ◽  
Rosenau Equation

scholarly journals Global existence and asymptotic behavior of solution of second-order nonlinear impulsive differential equations

2001 ◽  
Vol 25 (3) ◽  
pp. 175-182 ◽  
Author(s):  
Denghua Cheng ◽  
Jurang Yan
Keyword(s):  
Asymptotic Behavior ◽  
Global Existence ◽  
Differential Equations ◽  
Impulsive Differential Equations ◽  
Second Order ◽  
Asymptotic Behavior Of Solution

We consider the global existence and asymptotic behavior of solution of second-order nonlinear impulsive differential equations.

On the global existence and asymptotic behavior of the solution of a nonlinear wave equation with past history

2021 ◽  
Vol 62 (3) ◽  
pp. 031512
Author(s):  
Adel M. Al-Mahdi ◽  
Mohammad M. Al-Gharabli ◽  
Mohammad Kafini ◽  
Shadi Al-Omari
Keyword(s):  
Asymptotic Behavior ◽  
Wave Equation ◽  
Global Existence ◽  
Nonlinear Wave ◽  
Nonlinear Wave Equation ◽  
Past History

GLOBAL EXISTENCE AND ASYMPTOTIC BEHAVIOR OF THE COMPRESSIBLE NAVIER–STOKES EQUATIONS FOR A 1D ISOTHERMAL VISCOUS GAS

2008 ◽  
Vol 18 (08) ◽  
pp. 1383-1408 ◽  
Author(s):  
YUMING QIN ◽  
YANLI ZHAO
Keyword(s):  
Asymptotic Behavior ◽  
Global Existence ◽  
Stokes Equations ◽  
Initial Boundary ◽  
Initial Boundary Value Problem ◽  
Navier Stokes ◽  
Asymptotic Behavior Of Solutions ◽  
Navier Stokes Equations ◽  
Viscous Gas ◽  
Initial Boundary Value

In this paper, we prove the global existence and asymptotic behavior of solutions in Hi(i = 1, 2) to an initial boundary value problem of a 1D isentropic, isothermal and the compressible viscous gas with an non-autonomous external force in a bounded region.

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